Answer:
13 3/4 or 14 if rounded
Step-by-step explanation:
Answer:
Step-by-step explanation:
55/4
13 3/4
What is the area of this composite figure?
A) 130 in2
B) 280 in2
C) 436 in2
D) 616 in2
Answer:
See explanation. I attached a photo to help visualize and make it easier to understand, but tell me if handwriting was fine :)
Also, C) 436 in² is correct :)
Step-by-step explanation:
the answer is C
Step-by-step explanation:
if we take the 15 from 28
13 will be left
so 13×22=286
and 15×5=75
15×5=75
150+286=436
hopefully its helpful
Answer this question pls!! (Will give Brainliest)
Answer:
1. Not equivalent
2. Not equivalent
3. Equivalent
4. Equivalent
5. Equivalent
Step-by-step explanation:
I will prove the ones that are equivalent, since the ones that aren't are pretty straightforward.
2(3h + 7) = 6h + 14
3. 6h + 7 + 7 = 6h + 14
4. 3h + 3h + 14 = 6h + 14
5. (3h + 7) + (3h + 7) = 6h + 14
Find the sum of the measures of the interior angles of the indicated covex
Very confused
Answer:
Step-by-step explanation:
Hope it helps u!!
NEED HELP DUE IN 2 MINUTES!!!!
A cube has a volume of 64 cubic feet. What is the length of one side of the cube in feet?
Answer:
4 feetStep-by-step explanation:
s³ = 64
Take the cube root of both sides
s = 4
Help plis I don’t understand ✋✋
Trapezoid Area =
[ ( Sum of the rules ) × ( height ) ] ÷ 2
_________________________________
Area = [ ( 2 + 3 ) × 3 ] ÷ 2
Area = [ 5 × 3 ] ÷ 2
Area = 15 ÷ 2
Area = 7.5 m^2
Can I please get some help on this pretty please
Answer:
Score with 6 questions wrong :
= 40 - (6×2)
= 40 - 12
= 28
Score with x questions wrong :
= 40 - (x×2)
= 40 - 2x
Answer this question pls!!
Answer:
(6, 7)
Step-by-step explanation:
A rectangle means that opposite sides are parallel to each other and that opposite sides are equal in measurements.
If we look at the opposite side starting at (2, 1), we can count how long the other side should be. Counting the next point of the rectangle is (6, 1) which is a difference of 4. This means if we count from (2, 7) 4 spaces to the right, we will find our missing vertex.
(2 + 4, 7) = (6, 7)
3. The cost of renting a car is $26.50 plus $10 per day. Sales tax is 6%. Select all expressions that represent the cost of renting a car for d days. 1.06(26.50 + 100) 28.09d 26.50 + 6d 28.09 + 10.6d 26.50 + 1.06d
Need help fast will give brainiest
Answer:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}[/tex]
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ[/tex]
In problem 3, [tex]\overline{IJ}\cong \overline{IJ}[/tex] is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).
In what direction does the function f(x)=−(14x−1)(4x+1) open? Explain.
Answer: Direction opens downward
Step-by-step explanation:
X-Intercept: (1/14,0),(-1/4,0)
Y-Intercept: (0,1)
Find the vertex using x= -b/2a
Plug it into the vertex form = y=a(x-h)^2 +k
H,K will identify the direction.
For each expression in the table, select which number line model, If any, can be used to represent the expression. Select all appropriate cells in the
table.
Answer:
I don’t know
Step-by-step explanation:
You didn’t attach a photo lol
A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new sphere?
Answer:
08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.
Answer:
I have this same question on my math test.
Since the radius is 9, the diameter is 18.
The shape is being dilated by 2/3, so the new radius is 6.
Volume formula: V = 4/3πr^3
So now we plug in the values.
V = 4/3 x π x (6)^3
V = 4/3 x π x 216
V = 288π
If the answers do not have the pi symbol present, then it has been multiplied into the answer.
288 x 3.14 = 904.32
The new volume of the sphere is 904.32 in^3
12 bars of soap for $8.69
Estimate the slope of the regression line manufacturer of cases for sound equipment requires drilling holes for metal screws. The drill bits wear out and must be replaced; there is expense not only in the cost of the bits but also for lost production. Engineers varied the rotation speed of the drill and measured the lifetime in thousands of holes drilled of bits at different speeds in surface feet per minute (sfm). Suppose you want to create a model that estimates the drill bit lifetime ( y) based on rotation speed ( x). Summary statistics for 20 observations collected are given below.
20 20 20 20
Σ xi = 2,000 ; Σ yi = 86.6 Σ xi^2= 216,000 Σ xiyi= 8,338
i= 1 i=1 i=1 i=1
Estimate the slope of the regression line.
a. -0.017
b.-0.037
c. -0.057
d.-0.077
Answer:
[tex]b_i = -0.020125[/tex]
Step-by-step explanation:
Given
[tex]\sum x_i= 2000[/tex]
[tex]\sum y_i= 86.6[/tex]
[tex]\sum x_i^2= 216000[/tex]
[tex]\sum x_iy_i = 8338[/tex]
[tex]n = 20[/tex]
Required
Determine the slope (b) of the regression line
This is calculated as:
[tex]b_i = \frac{\sum xy - \frac{\sum x\sum y}{n}}{\sum x^2 - \frac{(\sum x)^2}{n}}[/tex]
Substitute values for each term, we have:
[tex]b_i = \frac{8338 - \frac{2000 * 86.6}{20}}{216000 - \frac{(2000)^2}{20}}[/tex]
Simplify the numerator
[tex]b_i = \frac{8338 - 8660}{216000 - \frac{(2000)^2}{20}}[/tex]
Simplify the denominator
[tex]b_i = \frac{8338 - 8660}{216000 - 200000}[/tex]
[tex]b_i = \frac{-322}{16000}[/tex]
[tex]b_i = -0.020125[/tex]
Please help!
1. What is the perimeter of the triangle below? Show your work.
Answer:
16.73 I THINK
Step-by-step explanation:
my guess is n1 is relating to the 4.9, and if it then you would do the Pythagorean theorem. because the degrees are there to let you know it's a right angle and you are able to use the theorem..... so -
4.9^2 + 4.9^2 =C^2
48.02 =C
√48 = 6.93 (rounded to nearest hundredth)
then you add them all together
4.9+4.9+6.93=16.73
(PLEASE HELP! NO SPAM!) On the following triangle, sin〖θ=15/17〗. What is cosθ?
Answer:
Cos(θ) = 8 / 17
Step-by-step explanation:
Cos = Adjacent / Hypotenuse
Side that is adjacent to θ = 8
hypotenuse of the triangle = 17
Cos(θ) = 8 / 17
Hope this helps!
One pile of cards contains the number 2 through 6 in red hearts. A second pile of cards contains the numbers 4 through 8 in black spades. Each pile of cards has been randomly shuffled. If one card from each pile is chosen at the same time, what is the probability that the sum will be less than 12?
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Answer:
I think the probability is 19 out of 25 = 19/25, but I am not sure so please check by step by step solution.
Step-by-step explanation: 5 29 12 38
Hearts 2, 3, 4, 5, 6
Spades 4, 5, 6, 7, 8
Find the probability that the sum of any two randomly cards is less than 12.
I count 5² = 25 possibilites
I found 5 + 5 + 4 + 3 + 2 combinaitons of cards whose sum is less than 12
sum of 19 combinations less than 12
19 /25 is the probability of the sum being less than 12
hearts.... + spade < 12
the 2 + any shade 5
the 3 + any spade 5
the 4 + the four lowest spades 4
the 5 + the three lowest spades 3
the 6 + the four lowest spades 2
a) Expand and simplify (x + 4)(x - 7)
Answer:
X x X=x²
X x -7=-7x
4 x X=4x
4 x -7=-28
-7x + 4x=-3x
x² + -3x -28
hope that helped :)
Step-by-step explanation:
use the double-angle formulas for sine and cosine to verify these identities:
tan(2theta) = 2tan(theta) / 1 - tan^2 (theta)
sin
(
2
θ
)
=
2
(
3
5
)
(
−
4
5
)
=
−
24
25
Write the double-angle formula for cosine.
\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos
2
θ−sin
2
θ
Again, substitute the values of the sine and cosine into the equation, and simplify.
)Answer:
In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,
\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ
If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have
Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have
Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:
Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives
\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}
tan(α+β)=
1−tanαtanβ
tanα+tanβ
tan(θ+θ)=
1−tanθtanθ
tanθ+tanθ
tan(2θ)=
1−tan
2
θ
2tanθ
A GENERAL NOTE: DOUBLE-ANGLE FORMULAS
The double-angle formulas are summarized as follows:
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=
1−tan
2
θ
2tanθ
HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.
Draw a triangle to reflect the given information.
Determine the correct double-angle formula.
Substitute values into the formula based on the triangle.
Simplify.
EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT
Given that
and \displaystyle \thetaθ is in quadrant II, find the following:
\displaystyle \sin \left(2\theta \right)sin(2θ)
\displaystyle \cos \left(2\theta \right)cos(2θ)
\displaystyle \tan \left(2\theta \right)tan(2θ)
SOLUTION
If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−
4
3
, such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:
Now we can draw a triangle similar to the one shown in Figure 2.
Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.
Figure 2
Let’s begin by writing the double-angle formula for sine.
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=
. Substitute these values into the equation, and simplify.
Thus,
Solution
EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES
Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).
SOLUTION
c
Analysis of the Solution
This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.
Using Double-Angle Formulas to Verify Identities
Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.
EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY
Establish the following identity using double-angle formulas:
\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)
2
θ
)
Step-by-step explanation:
you have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2.Which of these statements is true?
Answer:
c
Step-by-step explanation:
right on plato
A train can accommodate at most 80 passengers, economy class (x) and firstclass (y) passengers. To avoid making a loss the train must carry at least ten
economy class passengers and at least twenty first class passengers. Due to the
number of complementary items the first-class passengers receive, the number
of first-class passengers should be at most three times the number of economy
class passengers.
First class tickets cost N$5000 while economy class tickets cost N$3000.
i) State/ describe what the variables x and y represent.
ii) State the objective function.
iii) List the constraints.
Answer:
Step-by-step explanation:
1) (x) is economy class and (y) is first class
2) The objective function is to avoid making a loss in prophet making the train have the avalibility for 10 economy class passengers and at least 20 first class passengers.
3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.
Find the area and perimeter
Answer:
Step-by-step explanation:
Add all 4 sides to get perimeter so the first one is 9+9+2+2=22cm
the area is length x width so the first one is 9 x 2 =18cm ^2
Two trains, Train A and Train B, weigh a total of 243 tons. Train A is heavier than Train B. The difference of their weights is 87 tons. What is the weight of each train?
Answer:
Train A weighs 156 tons, and Train B weighs 78 tons.
Step-by-step explanation:
Given that two trains, Train A and Train B, weigh a total of 243 tons, and Train A is heavier than Train B, with a difference of their weights of 87 tons, to determine what is the weight of each train, the following calculation has to be done:
(243 - 87) / 2 = B
156/2 = B
78 = B
243 - 87 = A
156 = A
Therefore, Train A weighs 156 tons, and Train B weighs 78 tons.
The Hutton's records for the past six months show that their expenditures totaled $2.768, $3,001, $2,663, $2,471, $2,893, and $2,803. What is their average monthly expenditure for the six months?
Answer
2766.5
Step-by-step explanation:
Well to solve for average all you have to do is add the values together then divide by the number of values you started with. So we add them together(2768+3001+2663+2471+2893+2803) and get 16599. Then, since there were 6 values we divide that by 6 and you get your answer.
3/2 of a number is less than this number?
true or false, justify your answers
Answer:
False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2
Answer:
false
if the number is X
3/2 of X= X 1/2
[tex]x \frac{1}{2} > x[/tex]
Marking brainliest please help me
Answer:
I think B
Step-by-step explanation:
Not sure but seems like so. Hope I helped U :)
8
The median of 3 numbers is 7. If one of the numbers is 10, which of the following is a possible value for one of
the other numbers?
0/
6
8
ОООО
13
17
Review Questions
Mathematics
9514 1404 393
Answer:
(a) 6
Step-by-step explanation:
The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.
__
The three numbers are 6, 7, 10.
What’s the answer for this please I need it
Step-by-step explanation:
each week kyle saves $5.00
In a lab experiment, 2000 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 23 hours. How many bacteria would there be after 26 hours, to the nearest whole number?
Answer:
4,261
Step-by-step explanation:
after 23 hours, the number of bacteria =
4,000.
so, after 26 hours = 4,000+ (3/23 ×4000)
= 4,000 + 261 = 4,261
solve y=x-2 and x+y=12 using substitution
Step-by-step explanation:
y=x-2....eqn1
x+y=12.....eqn2
now,
from eqn 1
y= x-2
again, putting value of y in eqn 2
x+y=12x+x-2=122x=12+2x=14/2x=7in eqn 1
y=x-2y=7-2y=5hope it helps..